Filomat 2013 Volume 27, Issue 4, Pages: 721-730
https://doi.org/10.2298/FIL1304721M
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Approximation theorems for q-Bernstein-Kantorovich operators
Mahmudov Nazim I. (Eastern Mediterranean University, Gazimagusa, TRNC, Mersin, Turkey)
Sabancigil Pembe (Eastern Mediterranean University, Gazimagusa, TRNC, Mersin, Turkey)
In the present paper we introduce a q-analogue of the Bernstein-Kantorovich operators and investigate their approximation properties. We study local and global approximation properties and Voronovskaja type theorem for the q-Bernstein-Kantorovich operators in case 0 < q < 1.
Keywords: q-integers, positive operator, q-Bernstein-Kantorovich operator